Geometry & Topology Monographs 10 (2007) 227–235

DOI: 10.2140/gtm.2007.10.227

arXiv: 0903.4597

Abstract

Let RX_k,n^l be the space consisting of all (n+1)–tuples (p₀ (z),…,p_n(z)) of monic polynomials over R of degree k and such that there are at most l roots common to all p_i(z). In this paper, we prove a stable splitting of RX_k,n^l.

Keywords

real polynomial, loop space, stable splitting

Mathematical Subject Classification

Primary: 55P15

Secondary: 55P35, 58D15

References

Publication

Received: 13 August 2004
Revised: 9 May 2005
Published: 29 January 2007

Authors